961125 has 32 divisors (see below), whose sum is σ = 1752192. Its totient is φ = 464000.

The previous prime is 961123. The next prime is 961133. The reversal of 961125 is 521169.

It is not a de Polignac number, because 961125 - 2¹ = 961123 is a prime.

It is a super-2 number, since 2×961125² = 1847522531250, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 961095 and 961104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4009 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (54756).

2⁹⁶¹¹²⁵ is an apocalyptic number.

It is an amenable number.

961125 is a deficient number, since it is larger than the sum of its proper divisors (791067).

961125 is a wasteful number, since it uses less digits than its factorization.

961125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 961125 is about 980.3698281771. The cubic root of 961125 is about 98.6870024941.

It can be divided in two parts, 96 and 1125, that added together give a palindrome (1221).

The spelling of 961125 in words is "nine hundred sixty-one thousand, one hundred twenty-five".